27.3k views
5 votes
Solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x

User Anushree
by
5.2k points

2 Answers

3 votes

Answer:x=π/6,11π/6

Explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

User DavyJonesUA
by
5.3k points
6 votes

Answer:

Explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

User Brett Lempereur
by
4.8k points
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